摘要：AbstractState estimation of switched electrical networks in presence of noise is an interesting problem. In this paper, a novel procedure for the state estimation of nonlinear stochastic Boost converter model with Constant Power Load is explained. The finite dimensional deterministic model of Boost converter is developed using Hamiltonian framework. As the performance of switched electrical networks is greatly affected due to various uncertainties, there is need to analyze the nonlinear behavior of Boost converter in presence of noise, therefore its stochastic model is developed in this paper. For formulation of stochastic model of Boost converter, white noise is introduced in the system through switching signal. This leads to the formulation of nonlinear stochastic model of Boost converter which is difficult to deal with. Therefore, a Carleman linearization approach is adopted to transform the finite dimensional nonlinear stochastic model into an infinite dimensional bilinear stochastic model which is approximated for degree 2 in this paper. Then a state estimation procedure is proposed for the bilinear Itȏ SDE using probabilistic approach where, conditional mean and variance equations are evolved. Numerical simulations are performed to demonstrate the efficiency of proposed method compared to benchmark EKF.
